Question

Salil wants to put a picture in a frame. The picture is $7\frac{3}{5}$ cm wide. To fit in the frame the picture cannot be more than $7\frac{3}{10}$ cm wide. How much should the width be trimmed?

• A. $\frac{1}{10}cm$
• B. $\frac{9}{10}cm$
• C. $\frac{7}{10}cm$
• D. $\frac{3}{10}cm$

Answer 1

The correct option is D $\frac{3}{10}cm$

Given that,
Width of picture $=7\frac{3}{5}=\frac{38}{5}$ cm
Width of frame $=7\frac{3}{10}=\frac{73}{10}$ cm
$\therefore$ The width to be trimmed $=(\frac{38}{5}-\frac{73}{10})$
LCM of (5, 10) = 10

Now, let us change each of the given fraction into an equivalent fraction having 10 as the denominator.
$=\frac{(76-73)}{10}=\frac{3}{10}$
Thus, the picture should be trimmed by $\frac{3}{10}$ cm.